Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/413.jpg" pagenum="391"/>
              on other different concomitant cauſes, although they ought all
                <lb/>
              to have connexion with the primary; therefore it is convenient
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              that we propound and examine the ſeveral accidents that may
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              be the cauſes of ſuch different effects.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg753"/>
                <emph type="italics"/>
              Demonſtrations
                <lb/>
              how the parts of
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              the terreſtriall
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              Globe accelerats
                <lb/>
              and ratard.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg754"/>
                <emph type="italics"/>
              The parts of a
                <lb/>
              Circle regularly
                <lb/>
              moved about its
                <lb/>
              own centre move in
                <lb/>
              divers times with
                <lb/>
              contrary motions.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg755"/>
                <emph type="italics"/>
              The mixture of
                <lb/>
              the two motions
                <lb/>
              annnal and
                <lb/>
              nal, cauſeth the
                <lb/>
              inequality in the
                <lb/>
              motion of the parts
                <lb/>
              of the terreſtrial
                <lb/>
              Globe.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg756"/>
                <emph type="italics"/>
              The moſt potent
                <lb/>
              and primary cauſe
                <lb/>
              of the ebbing and
                <lb/>
              flowing.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>The firſt of which is, that when ever the water, by means of a
                <lb/>
                <arrow.to.target n="marg757"/>
                <lb/>
              notable retardation or acceleration of the motion of the Veſſel,
                <lb/>
              its container, ſhall have acquired a cauſe of running towards this
                <lb/>
                <arrow.to.target n="marg758"/>
                <lb/>
              or that extream, and ſhall be raiſed in the one, and abated in the
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                <arrow.to.target n="marg759"/>
                <lb/>
              other, it ſhall not nevertheleſſe continue, for any time in that
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              ſtate, when once the primary cauſe is ceaſed: but by vertue of
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              its own gravity and natural inclination to level and grow, even it
                <lb/>
              ſhall ſpeedily return backwards of its own accord, and, as being
                <lb/>
              grave and fluid, ſhall not only move towards
                <emph type="italics"/>
              Æquilibrium
                <emph.end type="italics"/>
              ; but
                <lb/>
              being impelled by its own
                <emph type="italics"/>
              impetus,
                <emph.end type="italics"/>
              ſhall go beyond it, riſing in
                <lb/>
              the part, where before it was loweſt; nor ſhall it ſtay here, but
                <lb/>
              returning backwards anew, with more reiterated reciprocations of
                <lb/>
              its undulations, it ſhall give us to know, that it will not from a
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              velocity of motion, once conceived, reduce it ſelf, in an inſtant,
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              to the privation thereof, and to the ſtate of reſt, but will
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              ſively, by decreaſing a little and a little, reduce it ſelf unto the
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              ſame, juſt in the ſame manner as we ſee a weight hanging at a
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              cord, after it hath been once removed from its ſtate of reſt, that
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              is, from its perpendicularity, of its own accord, to return thither
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              and ſettle it ſelf, but not till ſuch time as it ſhall have often
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              paſt to one ſide, and to the other, with its reciprocall
                <lb/>
              brations.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg757"/>
                <emph type="italics"/>
              Sundry accidents
                <lb/>
              that happen in the
                <lb/>
              ebbings & flowings
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg758"/>
                <emph type="italics"/>
              The first
                <lb/>
              dent.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg759"/>
                <emph type="italics"/>
              The Water
                <lb/>
              ſed in one end of
                <lb/>
              the Veſſel
                <lb/>
              eth of its ſelf to
                <emph.end type="italics"/>
                <lb/>
              Æquilibrium.</s>
            </p>
            <p type="main">
              <s>The ſecond accident to be obſerved is, that the
                <lb/>
                <arrow.to.target n="marg760"/>
                <lb/>
              declared reciprocations of motion come to be made and repeated
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              with greater or leſſer frequency, that is, under ſhorter or longer
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              times, according to the different lengths of the Veſſels
                <lb/>
              ing the waters; ſo that in the ſhorter ſpaces the
                <lb/>
              ons are more frequent, and in the longer more rare: juſt as in
                <lb/>
              the former example of pendent bodies, the vibrations of thoſe
                <lb/>
              that are hanged to longer cords are ſeen to be leſſe frequent,
                <lb/>
              than thoſe of them that hang at ſhorter ſtrings.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg760"/>
                <emph type="italics"/>
              In the ſhorter
                <lb/>
              Viſſels the
                <lb/>
              tions of waters are
                <lb/>
              more frequent.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>And here, for a third obſervation, it is to be noted, that not
                <lb/>
                <arrow.to.target n="marg761"/>
                <lb/>
              onely the greater or leſſer length of the Veſſel is a cauſe that
                <lb/>
              the water maketh its reciprocations under different times; but
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              the greater or leſſer profundity worketh the ſame effect. </s>
              <s>And
                <lb/>
              it happeneth, that of waters contained in receptacles of equall
                <lb/>
              length, but of unequal depth, that which ſhall be the deepeſt,
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              maketh its undulations under ſhorter times, and the
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              ons of the ſhallower waters are leſſe frequent.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg761"/>
                <emph type="italics"/>
              The greater
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              profundity maketh
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              the undulations of
                <lb/>
              waters more
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              quent.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Fourthly, there are two effects worthy to be noted, and
                <lb/>
              ligently obſerved, which the water worketh in thoſe its </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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